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Dr. Mahmoud Attiya Mahmoud Ibrahim Khattab :: Publications: |
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| Title: | Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method |
| Authors: | Mohamed R. Ali; Mahmoud A. Khattab; S. M. Mabrouk |
| Year: | 2023 |
| Keywords: | Landau-Ginzburg-Higgs (LGH) equation; Lax pair; Inverse scattering transformation; Solitons; AKNS formalism; Travelling wave solutions |
| Journal: | Nonlinear Dynamics |
| Volume: | 111 |
| Issue: | 8 |
| Pages: | 7687-7697 |
| Publisher: | Springer Netherlands |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mahmoud Atya Mahmoud Ibrahim Khatab_Travelling wave solution for the Landau-Ginburg-Higgs.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for coherent ion-cyclotron waves. In this paper, with a simple modification of the Ablowitz-Kaup-Newell-Segur (AKNS) formalism, the integrability of LGH equation is proved by deriving the Lax pair. Hence for that, the inverse scattering transformation (IST) is applied, and the travelling wave solutions are obtained and graphically represented in 2d and 3d profiles. |
